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Finding the Fourth Proportional to 3,023.58, 4,534.83 and 831.78

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Solution

The fourth proportional to 3,023.58, 4,534.83 and 831.78 is: 1,247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.58 : 4,534.83 = 831.78 : x
  2. Step 2: Convert to fraction form
    3,023.58/4,534.83 = 831.78/x
  3. Step 3: Cross multiply
    3,023.58x = 4,534.83 × 831.78
  4. Step 4: Simplify right side
    3,023.58x = 3,771,958.22
  5. Step 5: Solve for x
    x = 3,771,958.22/3,023.58
  6. Step 6: Final answer
    x = 1,247.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.